Atkin-Lehner |
2- 3- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119196r |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-5840962743167532288 = -1 · 28 · 319 · 73 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-299127,-132234370] |
[a1,a2,a3,a4,a6] |
j |
-15860726074525264/31298025672837 |
j-invariant |
L |
1.7272332114743 |
L(r)(E,1)/r! |
Ω |
0.095957360800207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39732d1 |
Quadratic twists by: -3 |